There are necessary conditions for a point x from the unit sphere to be a denting point of the unit ball of Orlicz spaces equipped with the Orlicz norm generated by arbitrary Orlicz functions. In contrast to results in [12, 17, 16], we present also examples of Orlicz spaces in which strongly extreme points of the unit ball are not denting points.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-3,
author = {Adam Bohonos and Ryszard P\l uciennik},
title = {A strongly extreme point need not be a denting point in Orlicz spaces equipped with the Orlicz norm},
journal = {Banach Center Publications},
volume = {95},
year = {2011},
pages = {37-44},
zbl = {1238.46010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-3}
}
Adam Bohonos; Ryszard Płuciennik. A strongly extreme point need not be a denting point in Orlicz spaces equipped with the Orlicz norm. Banach Center Publications, Tome 95 (2011) pp. 37-44. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-3/